scientific article; zbMATH DE number 1567926

zbMath1003.70006MaRDI QIDQ4761760

Alexey V. Shchepetilov

Publication date: 21 February 2001

Full work available at URL: http://mech.math.msu.su/~fpm/eng/k00/k001/k00120h.htm

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

two-body problemreductioncentral interactionattractive potentialsexistence of global solutionMarsden-Weinstein methodBertrand potentialone-particle problemsimply connected surface of constant curvature

Mathematics Subject Classification ID

Two-body problems (70F05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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